1. Assume that you are tasked with the job of writing a context-free grammar for Java variable declarations. We shall limit the data types to be either int or int[], i.e. integer type or array of integer types. We shall assume that variables begin with a lower-case letter and may be followed by zero or more lower-case letters or digits. We shall also assume that integer constants are written with an optional sign (+ or -) and followed by a string of digits without leading zeroes. Write a Context-Free Grammar for strings that denote one declaration of variables of either integers or array of integers. For example, the following are some valid declarations of variables in Java:

   int x, y = -2, sum = 0; int[] scores = {10, 20, 30}, age;